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exponential time, if T(n) is upper bounded by 2poly(n), where poly(n) is some polynomial in n. More formally, an algorithm is exponential time if T(n) is bounded...

they are continuous almost everywhere, relative to the Lebesgue measure. If t < 0 {\displaystyle t<0} then { x ∈ X : f ( x ) ≥ t } = X = { x ∈ X : f (...

following. If T is symmetric then T ⊂ T∗∗ ⊂ T∗. If T is closed and symmetric then T = T∗∗ ⊂ T∗. If T is self-adjoint then T = T∗∗ = T∗. If T is essentially...

E=\left({\frac {1}{T_{2}}}-{\frac {1}{T_{1}}}\right)\Delta E} and is thus positive if T 1 > T 2 {\displaystyle T_{1}>T_{2}} From the point of view of statistical...

first-order logic. The completeness theorem applies to any first-order theory: If T is such a theory, and φ is a sentence (in the same language) and every model...

in set theory (and in other sufficiently expressive axiomatic systems). If T is a theory and A is an additional axiom, T + A is said to be consistent...

other sentences. A sentence σ is independent of a given first-order theory T if T neither proves nor refutes σ; that is, it is impossible to prove σ from T...

different parts of the input function f ( τ ) {\displaystyle f(\tau )} ; If t {\displaystyle t} is a positive value, then g ( t − τ ) {\displaystyle g(t-\tau...

after Erich Leo Lehmann and Henry Scheffé, given their two early papers. If T is a complete sufficient statistic for θ and E(g(T)) = τ(θ) then g(T) is...

{\displaystyle f} acting on the distribution T . {\displaystyle T.} Proposition. If T {\displaystyle T} is a linear functional on C c ∞ ( U ) {\displaystyle C_{c}^{\infty...

with Tr ⁡ ( | T | ) < ∞ . {\displaystyle \operatorname {Tr} (|T|)<\infty .} If T is trace class then ‖ T ‖ 1 = sup { | Tr ⁡ ( C T ) | : ‖ C ‖ ≤ 1  and  C...

monotonic function, then f {\displaystyle f} is injective on its domain, and if T {\displaystyle T} is the range of f {\displaystyle f} , then there is an...

{\mathcal {T}}} , if T ⊢ ϕ {\displaystyle {\mathcal {T}}\vdash \phi } , then ϕ ∈ T {\displaystyle \phi \in {\mathcal {T}}} ; or, equivalently, if T ′ {\displaystyle...

In linear algebra, linear transformations can be represented by matrices. If T {\displaystyle T} is a linear transformation mapping R n {\displaystyle \mathbb...

suggested that such a metabolism was ancestrally common to all dinosaurs. Even if T. rex does exhibit evidence of homeothermy, it does not necessarily mean that...

said to be in the spectrum of a bounded linear operator T {\displaystyle T} if T − λ I {\displaystyle T-\lambda I} either has no set-theoretic inverse; or...

\left(A\left(x\otimes y\right)\right)=\left\langle Ax,y\right\rangle } . If T : H → H {\displaystyle T:H\to H} is a bounded compact operator with eigenvalues...

Not every theory is model-companionable, e.g. theory of groups. However if T is an ℵ 0 {\displaystyle \aleph _{0}} -categorical theory, then it always...

but not in X {\displaystyle X} ). Closed Graph Theorem for Banach spaces — If T : X → Y {\displaystyle T:X\to Y} is an everywhere-defined linear operator...

event to occur relative to some initial time, this relation implies that, if T is conditioned on a failure to observe the event over some initial period...